skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: The deal.II Library, Version 9.0

Abstract

This paper provides an overview of the new features of the finite element library deal.II version 9.0.

Authors:
 [1];  [2];  [3];  [4];  [4];  [4];  [5];  [6];  [1];  [7];  [8];  [9];  [4]; ORCiD logo [10];  [11]
  1. International School for Advanced Studies (SISSA), Trieste (Italy)
  2. Heidelberg Univ. (Germany). Interdisciplinary Center for Scientific Computing
  3. Colorado State Univ., Fort Collins, CO (United States). Dept. of Mathematics
  4. Friedrich-Alexander Univ. Erlangen-Nürnberg, Erlangen (Germany). Chair of Applied Mechanics
  5. Univ. of California, Davis, CA (United States). Dept. of Earth and Planetary Sciences
  6. Clemson Univ., SC (United States). Dept. of Mathematical Sciences
  7. Max Planck Inst. for Plasma Physics (IPP), Garching (Germany)
  8. Technical Univ. of Munich (Germany). Inst. for Computational Mechanics
  9. Univ. of Minnesota, Minneapolis, MN (United States). School of Mathematics
  10. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Computational Engineering and Energy Sciences Group and Computational Sciences and Engineering Division
  11. Rensselaer Polytechnic Inst., Troy, NY (United States). Dept. of Mathematical Sciences
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE Office of Science (SC); German Research Foundation (DFG); National Science Foundation (NSF); German Academic Exchange Service (DAAD); Univ. Grants Commission (UGC) (India); US Department of the Navy, Office of Naval Research (ONR); US Army Research Office (ARO); European Research Council (ERC)
OSTI Identifier:
1476394
Grant/Contract Number:  
AC05-00OR22725; OCI-1148116; EAR-0949446; EAR-1550901; DA 1664/2-1; DMS-1522191; EAR- 1550901; SBIR N16A-T003; W911NF-14-0247; 289049 MOCOPOLY; DMS-1344962
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Numerical Mathematics
Additional Journal Information:
Journal Volume: 26; Journal Issue: 4; Journal ID: ISSN 1570-2820
Publisher:
de Gruyter
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING

Citation Formats

Alzetta, Giovanni, Arndt, Daniel, Bangerth, Wolfgang, Boddu, Vishal, Brands, Benjamin, Davydov, Denis, Gassmöller, Rene, Heister, Timo, Heltai, Luca, Kormann, Katharina, Kronbichler, Martin, Maier, Matthias, Pelteret, Jean-Paul, Turcksin, Bruno, and Wells, David. The deal.II Library, Version 9.0. United States: N. p., 2018. Web. doi:10.1515/jnma-2018-0054.
Alzetta, Giovanni, Arndt, Daniel, Bangerth, Wolfgang, Boddu, Vishal, Brands, Benjamin, Davydov, Denis, Gassmöller, Rene, Heister, Timo, Heltai, Luca, Kormann, Katharina, Kronbichler, Martin, Maier, Matthias, Pelteret, Jean-Paul, Turcksin, Bruno, & Wells, David. The deal.II Library, Version 9.0. United States. doi:10.1515/jnma-2018-0054.
Alzetta, Giovanni, Arndt, Daniel, Bangerth, Wolfgang, Boddu, Vishal, Brands, Benjamin, Davydov, Denis, Gassmöller, Rene, Heister, Timo, Heltai, Luca, Kormann, Katharina, Kronbichler, Martin, Maier, Matthias, Pelteret, Jean-Paul, Turcksin, Bruno, and Wells, David. Sat . "The deal.II Library, Version 9.0". United States. doi:10.1515/jnma-2018-0054. https://www.osti.gov/servlets/purl/1476394.
@article{osti_1476394,
title = {The deal.II Library, Version 9.0},
author = {Alzetta, Giovanni and Arndt, Daniel and Bangerth, Wolfgang and Boddu, Vishal and Brands, Benjamin and Davydov, Denis and Gassmöller, Rene and Heister, Timo and Heltai, Luca and Kormann, Katharina and Kronbichler, Martin and Maier, Matthias and Pelteret, Jean-Paul and Turcksin, Bruno and Wells, David},
abstractNote = {This paper provides an overview of the new features of the finite element library deal.II version 9.0.},
doi = {10.1515/jnma-2018-0054},
journal = {Journal of Numerical Mathematics},
number = 4,
volume = 26,
place = {United States},
year = {2018},
month = {6}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 13 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs
journal, January 1998


SLEPc: A scalable and flexible toolkit for the solution of eigenvalue problems
journal, September 2005

  • Hernandez, Vicente; Roman, Jose E.; Vidal, Vicente
  • ACM Transactions on Mathematical Software, Vol. 31, Issue 3
  • DOI: 10.1145/1089014.1089019

π-BEM: A flexible parallel implementation for adaptive, geometry aware, and high order boundary element methods
journal, July 2018


Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
journal, September 2009

  • Geuzaine, Christophe; Remacle, Jean-François
  • International Journal for Numerical Methods in Engineering, Vol. 79, Issue 11
  • DOI: 10.1002/nme.2579

Adaptive Multilevel Methods with Local Smoothing for $H^1$- and $H^{\mathrm{curl}}$-Conforming High Order Finite Element Methods
journal, January 2011

  • Janssen, Bärbel; Kanschat, Guido
  • SIAM Journal on Scientific Computing, Vol. 33, Issue 4
  • DOI: 10.1137/090778523

Convergence study of the h-adaptive PUM and the hp-adaptive FEM applied to eigenvalue problems in quantum mechanics
journal, December 2017

  • Davydov, Denis; Gerasimov, Tymofiy; Pelteret, Jean-Paul
  • Advanced Modeling and Simulation in Engineering Sciences, Vol. 4, Issue 1
  • DOI: 10.1186/s40323-017-0093-0

Algorithms and data structures for massively parallel generic adaptive finite element codes
journal, December 2011

  • Bangerth, Wolfgang; Burstedde, Carsten; Heister, Timo
  • ACM Transactions on Mathematical Software, Vol. 38, Issue 2
  • DOI: 10.1145/2049673.2049678

Algorithm 755; ADOL-C: a package for the automatic differentiation of algorithms written in C/C++
journal, June 1996

  • Griewank, Andreas; Juedes, David; Utke, Jean
  • ACM Transactions on Mathematical Software, Vol. 22, Issue 2
  • DOI: 10.1145/229473.229474

Algorithm 832: UMFPACK V4.3---an unsymmetric-pattern multifrontal method
journal, June 2004

  • Davis, Timothy A.
  • ACM Transactions on Mathematical Software, Vol. 30, Issue 2
  • DOI: 10.1145/992200.992206

An overview of the Trilinos project
journal, September 2005

  • Heroux, Michael A.; Phipps, Eric T.; Salinger, Andrew G.
  • ACM Transactions on Mathematical Software, Vol. 31, Issue 3
  • DOI: 10.1145/1089014.1089021

NetCDF: an interface for scientific data access
journal, July 1990

  • Rew, R.; Davis, G.
  • IEEE Computer Graphics and Applications, Vol. 10, Issue 4
  • DOI: 10.1109/38.56302

p4est : Scalable Algorithms for Parallel Adaptive Mesh Refinement on Forests of Octrees
journal, January 2011

  • Burstedde, Carsten; Wilcox, Lucas C.; Ghattas, Omar
  • SIAM Journal on Scientific Computing, Vol. 33, Issue 3
  • DOI: 10.1137/100791634

High accuracy mantle convection simulation through modern numerical methods: High accuracy mantle convection simulation
journal, August 2012


Multilevel methods for discontinuous Galerkin FEM on locally refined meshes
journal, November 2004


A generic interface for parallel cell-based finite element operator application
journal, June 2012


A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
journal, January 2001

  • Amestoy, Patrick R.; Duff, Iain S.; L'Excellent, Jean-Yves
  • SIAM Journal on Matrix Analysis and Applications, Vol. 23, Issue 1
  • DOI: 10.1137/S0895479899358194

Hybrid scheduling for the parallel solution of linear systems
journal, February 2006

  • Amestoy, Patrick R.; Guermouche, Abdou; L’Excellent, Jean-Yves
  • Parallel Computing, Vol. 32, Issue 2
  • DOI: 10.1016/j.parco.2005.07.004

High accuracy mantle convection simulation through modern numerical methods – II: realistic models and problems
journal, May 2017

  • Heister, Timo; Dannberg, Juliane; Gassmöller, Rene
  • Geophysical Journal International, Vol. 210, Issue 2
  • DOI: 10.1093/gji/ggx195

LinearOperator—A generic, high-level expression syntax for linear algebra
journal, July 2016

  • Maier, Matthias; Bardelloni, Mauro; Heltai, Luca
  • Computers & Mathematics with Applications, Vol. 72, Issue 1
  • DOI: 10.1016/j.camwa.2016.04.024

SUNDIALS: Suite of nonlinear and differential/algebraic equation solvers
journal, September 2005

  • Hindmarsh, Alan C.; Brown, Peter N.; Grant, Keith E.
  • ACM Transactions on Mathematical Software, Vol. 31, Issue 3
  • DOI: 10.1145/1089014.1089020

Multifrontal parallel distributed symmetric and unsymmetric solvers
journal, April 2000

  • Amestoy, P. R.; Duff, I. S.; L'Excellent, J. -Y.
  • Computer Methods in Applied Mechanics and Engineering, Vol. 184, Issue 2-4
  • DOI: 10.1016/S0045-7825(99)00242-X

    Works referencing / citing this record:

    Multigrid for Matrix-Free High-Order Finite Element Computations on Graphics Processors
    journal, May 2019

    • Kronbichler, Martin; Ljungkvist, Karl
    • ACM Transactions on Parallel Computing, Vol. 6, Issue 1
    • DOI: 10.1145/3322813